MATH 1132Q Lecture Notes - Lecture 2: Antiderivative
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Document Summary
Math 1132q , lecture 2 , section 7. 3. Identity x = a sin , - /2 < < /2. A^2 + x^2 x = a tan , - /2 < < /2. X^2 - a^2 x = a sec , 0 < < /2 or < < 3 /2 sec^2 - 1 = tan^2 . Steps for solving: check if u-substitution will work. 1 / 4 - x^2 dx sin = x / 2. 1 / ( 4 - (2 sin )^2 ) x = 2 sin dx = 2 cos d . 2 cos d / ( 4 - (2 sin )^2 ) 2 cos d / ( 4 - 4 sin^2 ) 2 cos d / ( 4 ( 1 - sin^2 ) ) 2 cos d / ( 4 cos^2 ) 2 cos d / ( 2 cos ) 2 cos / 2 cos cancel out.
